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Basic Arithmetic, Reasoning, and Logic
Correctly Solved Solutions
is to CLEANING as MEDICINE is to CURING A. Chore B. Dirt C. Soap D. Germs E. Shiny - CORRECT ANSWER: The correct answer is C). Soap is used for cleaning as medicine is used for curing is to JUICE as WHEAT is to BREAD A. Water B. Pitcher C. Supermarket D. Soda E. Orange - CORRECT ANSWER: The correct answer is (E). An orange is used to produce juice like wheat is used to produce bread. In addition, both wheat and oranges must be processed to produce the final product. This eliminates answer (A). (15 ÷ 5) x (10 ÷ 2) = a. 10 b. 5 c. 2. d. 15 e. 13 - CORRECT ANSWER: D. 15 16 ÷ 2.5 = a. 6. b. 5. c. 6. d. 6. e. 5.3 - CORRECT ANSWER: d. 6. 17 out of 20 lung diseases are curable; what is the percentage of lung diseases that are curable? A. 17% B. 72% C. 85% D. 87% E. 90% F. None of these - CORRECT ANSWER: The correct answer is (C). In order to find out how much is 17 out of 20 in percentage, we need to reach a denominator of 100 (a
percent is simply a fraction with a denominator of 100). In order to do this we multiply the fraction 17/20 by 5 and reach 85/100 which is 85%. 42 x 0 x 6 = a. 0 b. 6 c. 252 d. 7 e. 242 - CORRECT ANSWER: a. 0 A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points do the girls average per player? a. 11 b. 9 c. 8 d. 10 e. 13 - CORRECT ANSWER: e. 13 A biker travels 5 feet in 0.5 seconds. At this exact speed, how far will the biker travel in a minute? a. 125 feet b. 25 feet c. 75 feet d. 150 feet e. 250 feet - CORRECT ANSWER: d. 150 feet A car dealership sells used cars for $7,000 and new cars for $16,000. If a total of 17 cars were sold for $191,000, how many of the cars sold were used? A. 2 B. 3 C. 5 D. 8 E. 10 F. None of these - CORRECT ANSWER: The correct answer is (F) - None of the above. First of all, in order to simplify the calculations we can divide all the numbers by a common denominator: 1000, in that way we can get rid of all those annoying zeroes. Now we define the used cars as U (with a price of 7 each) and the new cars as N (with a price of 16 each) Now we can build two equations, the first representing the total price and the second the total amount of cars: a. 7U+16N= b. N+U= 17
e. 144 - CORRECT ANSWER: d. 120 A motorcyclist rode between Flibbertown and Guinevill at a steady pace of 60 miles per hour for 2 hours. After two hours she accelerated to 65 miles per hour for another full hour. What is the distance between those cities? A. 150 miles B. 180 miles C. 165 miles D. 185 miles E. None of the above - CORRECT ANSWER: The correct answer is (D). In order to solve the question, we need to separate the two stages. The first stage is: the two-hour ride at a rate of 60 mph; the second stage is the one- hour ride at a rate of 65 mph. Time (hours) Speed Distance Stage 1 3 X 3X Stage 2? 2X 3X If we sum up the distance of both stages, we will find the distance between the cities. The first stage is calculated using the formula Time * Speed = Distance: 2 hours X 60 miles per hour=120 miles The second stage is calculated using the same formula: 1 hour X 65 miles per hour=65 miles Therefore, the total distance between the cities is 120 miles + 65 miles = 185 miles. A race car travels 100 feet in .5 seconds. At this rate of speed, how many feet will the race car travel in a minute? a. 60,000 feet b. 6,000 feet c. 1,200 feet d. 5,000 feet e. 12,000 feet - CORRECT ANSWER: e. 12,000 feet A road construction crew is resurfacing the highway between point D and point E. The distance between point D and point E is 93 miles of road. The crew has completed 35 miles. If they work at a pace of 2.9 miles per day, how many more days will it take to finish? a. 20 b. 19 c. 13 d. 22 - CORRECT ANSWER: a. 20
A shop owner bought some shovels for $5,500. The shovels were sold for $7,300, with a profit of $50 per a shovel. How many shovels were involved? A. 18 B. 36 C. 55 D. 73 E. 90 F. None of these - CORRECT ANSWER: The correct answer is (B). The total profit from the sale is the selling price minus the cost of purchase, which is $7300-$5500= $1800.If the total profit is $1800 and each shovel accounts for $50 profit, the amount of shovels is 1800/50=36. A turkey was cooked at 400° F in the oven for 3 hours. The internal temperature rose from 30° F to 156° F. What was the average rise in temperature per hour? a. 44 b. 31 c. 42 d. 40. e. 36 - CORRECT ANSWER: c. 42 Abundant is the opposite of: A. Ample B. Meager C. Sufficient D. Overflowing E. Lavish - CORRECT ANSWER: The correct answer is (B). "Abundant" is an adjective meaning "plentiful" while "meager" is an adjective meaning "not enough." Therefore, the words are opposite in meaning. Answers (A), (D), and (E) are synonyms of "abundant." While answer (C) is related to "abundant," it is neither a synonym nor an antonym of it. Add 0.45 + 52.12 + 4.1111 + 206 + 0. a. 263. b. 263. c. 262. d. 260. e. 262.68139 - CORRECT ANSWER: e. 262. AFFLUENT WEALTHY - The meanings of these words are:
- Similar
- Contradictory
- Neither similar nor contradictory - CORRECT ANSWER: The correct answer is (A). Both affluent and wealthy mean having a great deal of resources or money. Therefore, the words are similar in meaning.
Are the following two words similar, contradictory, or not related? Legend Key a. Similar b. Contradictory c. Not Related - CORRECT ANSWER: a. Similar Are the following two words similar, contradictory, or not related? Optional Observational a. Contradictory b. Not Related c. Similar - CORRECT ANSWER: b. Not Related Are the following two words similar, contradictory, or not related? Aghast Unsurprised a. Similar b. Contradictory c. Not Related - CORRECT ANSWER: b. Contradictory Are the following two words similar, contradictory, or not related? Familiar Gallant a. Similar b. Contradictory c. Not Related - CORRECT ANSWER: c. Not Related Are the following two words similar, contradictory, or not related? Level Equal a. Not Related b. Similar c. Contradictory - CORRECT ANSWER: b. Similar Are the following two words similar, contradictory, or not related? Sever Adjoin a. Not Related b. Contradictory c. Similar - CORRECT ANSWER: b. Contradictory Arrange the following words so that they form a complete sentence: rectangle has a sides five Is the sentence true or false? a. true b. false
c. neither true nor false - CORRECT ANSWER: b. false Arrange the following words so that they make a complete sentence. Is the rearranged sentence true or false? Triangle A sides three has A. True B. False - CORRECT ANSWER: The sentence is: A triangle has three sides, which is true. Arrange the following words to make a complete sentence. What comes just before the word "by?" suitcase by managed the carry to himself Mike A. Himself B. Managed C. Carry D. Suitcase E. To - CORRECT ANSWER: The correct answer is (D). The sentence should read: "Mike managed to carry the suitcase by himself." Therefore, the word that comes before the word "by" is "suitcase." Solving tip: There is one capitalized word in this sentence and it is "Mike." Therefore, it is the first word in the sentence and it is the subject of the sentence. The following word after a subject will probably be a verb or a "to be" verb, thus the only word which fits afterwards is "managed." In addition, the word that comes after the word "by" has to be the word "himself." ATTRACTION is the opposite of: A. Disgust B. Inclination C. Fascination D. Inducement E. Lust - CORRECT ANSWER: The correct answer is (A). Attraction is a word used to describe the power of drawing, alluring or enticing while disgust is a word used to describe a feeling of loathing that causes aversion. Ben's General Store is selling yarn for $.04 a foot. How many feet can you buy for $0.52? a. 11 b. 8 c. 9
123A3 122A
LLO
LLO
KKA
KKA
ORR13726B ORR13726B
12AB12AB1 12AB1AB
A. 1
B. 2
C. 3
D. 4
E. 5 - CORRECT ANSWER: The correct answer is (B). The exact duplicates are: LLO8761, ORR13726B How many of the five pairs listed below are exact duplicates? 6845 - 6845 45641 - 45641 987878 - 987788 124555 - 123555 9898547 - 9898745 A. 1 B. 2 C. 3 D. 4 E. 5 - CORRECT ANSWER: There are 2 exact duplicates: 6845 and 45641 How many of the pairs of names below are exact duplicates? Walmer, M.C. Walmer, M.C. Johnson, S.N. Johnson, S.M. Grayson, E.F. Grayson, E.F. Elbers, E.L. Elbers, E.L. Metiva, F.B. Meteva, F.B. - CORRECT ANSWER: e. 3 How many of the six pairs listed below are exact duplicates? 3356 3356 87878 87978 909152 989152 7776145 7776145 865656 865656 71829 71829 A. 1 B. 2 C. 3 D. 4 E. 5 - CORRECT ANSWER: The correct answer is (D). The exact duplicates are: 3356; 7776145; 865656; 71829
How many of the six pairs of items listed below are exact duplicates? 5581 5581 86887 86887 14443 14443 56789 56789 44332 44332
- 108526 a. 2 b. 1 c. 4 d. 5 - CORRECT ANSWER: a. 2 How many of the six pairs of items listed below are exact duplicates? Myron, J.T. Mryon, J.T. Bitters M.M. Bitters M.M Aldrich, B.J. Aldrich, B.J. Hoff, J.B. Hoff, J.P. Simms,G.K. Simms,C.K. Elvis, P.R. Elvis, P.R. - CORRECT ANSWER: b. 2 How many states are there in the U.S.A? A. 20 B. 30 C. 40 D. 50 E. 60 - CORRECT ANSWER: The correct answer is (D). The USA has 50 states. If the first two statements are true, is the final statement true? All dogs have a brown leg. Barky has a brown leg. Barky is a dog. A. True B. False C. Uncertain - CORRECT ANSWER: The correct answer is (C). The fact that every dog has a brown leg doesn't mean that each creature with brown leg is a dog. If the first two statements are true, is the final statement true? Dave spoke with Sally. Sally spoke with John. Dave did not speak with John. A. Yes B. No C. Uncertain - CORRECT ANSWER: The correct answer is (C) - It is uncertain whether the last statement is true. The first 2 statements do not tell us anything about Dave talking to John, therefore we cannot know if it is true or not.
In the following set of words, which word does not belong? A. Dentist B. Economist C. Surgeon D. Layman E. Neuropsychologist - CORRECT ANSWER: The correct answer is (D). A layman is a word used to describe a person who does not belong to a particular profession while the other words are all different professions. In the following set of words, which word is different from the others? A. Inflation B. Interest C. Debt D. Budget E. Drought - CORRECT ANSWER: The correct answer is (E). All of the other answers are closely related to money, while drought is related to the weather/climate. This question is confusing because a drought can bring on financial difficulties to a country, causing inflation and debt, but a drought is simply a period of dry weather. In the following set of words, which word is different from the others? A. Solemn B. Archaic C. Grave D. Mirthless E. Serious - CORRECT ANSWER: The correct answer is (B). Archaic is a word used to describe something that belongs to an earlier period of time, while the other words are used to describe sad and gloomy states of mind or facial expressions. In the number 10,987.36 which digit represents the tenths space? a. 3 b. 6 c. 8 d. 1 e. 7 - CORRECT ANSWER: e. 7 In the stock market, four different stocks have an average price of $100 per stock. The price of a Drone stock is $70. What is the average price of the three other stocks (not including the Drone stock)? A. 107 B. 110 C. 112 D. 117 E. Cannot say - CORRECT ANSWER: The correct answer is (B). In order to calculate an average, we have to know the sum of the individual values, and the number of individuals. We know that there are four different stocks, so the number of individuals is four (Number of individuals). Now, find the sum of the prices of all the stocks (Sum of
the individuals' value). We can calculate the sum of the group's value with the average of the values: Sum of all the values
- ----------------------= Average Number of Values Let's insert the figures that we know into the formula. Sum of all values
- --------------------= 100 Dollars 4 Sum of all values = 400 Dollars The average of the 4 stock prices is $100, and therefore the sum of the stock prices is $400. If the value of the Drone stock is $70, we can conclude that the sum of the remaining three stock prices is $330. If the value of three of them is $330, the average price is $110. Quick tip: If an average is provided followed by the number of values, the sum of the values can be calculated. The sum is calculated as follows: Number of values X Average=Sum of the values. Jade is 9 years older than Rose. In 4 years' time, Jade's age will be double Rose's age. What are their ages today? A. Jade is 5 years old and Rose is 14 years old B. Jade is 14 years old and Rose is 5 years old C. Jade is 2 years old and Rose is 11 years old D. Jade is 10 years old and Rose is 1 year old E. Cannot be determined - CORRECT ANSWER: The correct answer is (B). All the information given is based on the relation between Jade's age and Rose's age. Let's denote Jade's age by X and Rose's age by Y. "Jade is 9 years older than Rose " - we can translate this information into an equation. X = Y + 9 Unfortunately, an equation with two variables is not solvable unless we have another equation. "In 4 years' time, Jade's age will be double Rose's age" - the second sentence also represents a relation. It means that in 4 years Jade's age will be X+4 and will be double Rose's age, which will be Y+4. Look at the equation below: X + 4 = 2 (Y + 4)
D. $ 5109.02 - CORRECT ANSWER: The correct answer is (B). If John's gross pay was $4687.24 and $421.78 was deducted from that amount, John's take-home pay was: $4687.24 - $421.78 = $4265.46. John's monthly salary is $7,000. If John deposits 0.75 of his paycheck into a savings account. How much money does he put in his savings account every month? A. $4, B. $4, C. $5, D. $ 6,250 - CORRECT ANSWER: The correct answer is (C). In order to find how much money he puts in his savings account, we need to find how much is 0.75 of $7,000: (75/100)×7000 = $5,250. Solving Tip: If multiplying 7,000 × 0.75 seems to be a bit too difficult, we can also use estimations and eliminate wrong answer choices. Let's round 0.75 down to 0.70, while keeping in mind that the correct answer must be slightly larger than the result. 7,000×0.70= 7,000×(70/100) =70×70 =4900. Answers A and B can definitely be eliminated as they are too low. Since we only rounded down by 0.05, know that the correct answer will only be slightly larger than 4900. We can therefore conclude with fair certainty that C is the correct answer. Joseph gets married next month. One year ago from the date he will get married, Joseph was in the Hamptons for the 4th of July. What month is it? a. July b. June c. March d. May e. August - CORRECT ANSWER: b. June Mark got a 20% raise in his salary. If his salary was $1,800, what is his new salary? a. $1, b. $2, c. $2, d. $2,000 - CORRECT ANSWER: c. $2, Mike had a jar of nickels that had five more nickels than he originally thought. If the total amount of nickels was $4.35, how many nickels did Mike
think he had originally?
Over the course of two weeks, Al spent $105.00 on lunch. What was the average cost per day? a. $7. b. $8. c. $7. d. $6. e. $5.75 - CORRECT ANSWER: a. $7. Reduce the fraction 21/49 to its lowest terms. a. 4/ b. 2/ c. 3/ d. 12/ e. 5/11 - CORRECT ANSWER: c. 3/ REFUTED, IRREFUTABLE - Do these words: a. Have contradicting meanings? b. Have similar meanings? c. Mean neither the same nor the opposite? - CORRECT ANSWER: a. Have contradicting meanings? Sam and Edna have 56 marbles together. Edna has 6 times more marbles than Sam. How many marbles does Sam have? A. 8 B. 12 C. 32 D. 46 E. 49 F. None of these - CORRECT ANSWER: The correct answer is (A). If Edna has 6 times more marbles than Sam, we can define Sam as X and Edna as 6X, and build the following equation: X+6X=56, therefore X=8. START is the opposite of... A. Source B. Inception C. Conclusion D. Initiation E. Origin - CORRECT ANSWER: The correct answer is (C). Start means "to begin," so the antonym is conclusion. Inception and origin are synonyms. Source is not related. Therefore, the correct answer is conclusion. Tardy is the opposite of: a. Punctual b. Rigorous c. Conscientious
d. Meticulous - CORRECT ANSWER: a. Punctual The eleventh month of the year is: A. January B. November C. October D. May - CORRECT ANSWER: The correct answer is (B). The eleventh month of the year is November. The hours of darkness in May are most similar to which month? a. February b. July c. November d. October - CORRECT ANSWER: b. July The tenth month of the year is: a. November b. September c. August d. October - CORRECT ANSWER: d. October The volume of a rectangle prism is 100 cubic inches. Which of the alternatives is its greatest possible length? A. 100 B. 10 C. 20 D. 60 E. 50 - CORRECT ANSWER: The correct answer is (A). In order to answer the question correctly, we need to understand it. In order to find out the greatest possible size, we have to think in extremes. The volume formula of a rectangular prism is: Length * Width
- Depth = Volume. If the volume is already set at 100 cubic inches, we can obtain from the formula the greatest value for length if we set the lowest values for width and depth. Theoretically, both the width and depth may each be 1 inch, and the length 100 inches; thus the correct answer is A. There are 4 times as many used cars in the car dealership lot as there as new cars. There are 160 cars total in the dealership lot. How many new cars are in the car dealership lot? a. 94 b. 31 c. 32 d. 96 - CORRECT ANSWER: c. 32
